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Finding the Fourth Proportional to 274,857.28, 411,925.44 and 199,209.92

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Solution

The fourth proportional to 274,857.28, 411,925.44 and 199,209.92 is: 298,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,857.28 : 411,925.44 = 199,209.92 : x
  2. Step 2: Convert to fraction form
    274,857.28/411,925.44 = 199,209.92/x
  3. Step 3: Cross multiply
    274,857.28x = 411,925.44 × 199,209.92
  4. Step 4: Simplify right side
    274,857.28x = 82,059,633,948.36
  5. Step 5: Solve for x
    x = 82,059,633,948.36/274,857.28
  6. Step 6: Final answer
    x = 298,553.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.